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Finding the Fourth Proportional to 112.31, 155.01 and 65.06

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Solution

The fourth proportional to 112.31, 155.01 and 65.06 is: 89.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.31 : 155.01 = 65.06 : x
  2. Step 2: Convert to fraction form
    112.31/155.01 = 65.06/x
  3. Step 3: Cross multiply
    112.31x = 155.01 × 65.06
  4. Step 4: Simplify right side
    112.31x = 10,084.95
  5. Step 5: Solve for x
    x = 10,084.95/112.31
  6. Step 6: Final answer
    x = 89.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.